Finite Group Databasebeta

← #29481970

Subgroups — #29481970

Order 15104.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438425C211yesmaximal, characteristic, complemented
2#21438038C211yesmaximal, characteristic, complemented
3#21437185C211yesmaximal, characteristic, complemented
4#21437136C211yesmaximal, characteristic, complemented
5#21436845C211yesmaximal, characteristic, complemented
6#21436804C211yesmaximal, characteristic, complemented
7#21436235C211yesmaximal, characteristic, complemented
8#21436122C211yesmaximal, characteristic, complemented
9#21436105C211yesmaximal, characteristic, complemented
10#21436060C211yesmaximal, characteristic, complemented
11#21435936C211yesmaximal, characteristic, complemented
12#21435907C211yesmaximal, characteristic, complemented
13#21435779C211yesmaximal, characteristic, complemented
14D8×D236C211yesmaximal, characteristic, complemented
15#21435640C211yesmaximal, characteristic, complemented
16#21435579C211yesmaximal, characteristic, complemented
17#21435579C211yesmaximal, characteristic, complemented
18#21435578C211yesmaximal, characteristic, complemented
19#21435531C211yesmaximal, characteristic, complemented
20#21435513C211yesmaximal, characteristic, complemented
21#21435450C211yesmaximal, characteristic, complemented
22#21435195C211yesmaximal, characteristic, complemented
23#21435148C211yesmaximal, characteristic, complemented
24#21435118C211yesmaximal, characteristic, complemented
25#21434341C211yesmaximal, characteristic, complemented
26#21434239C211yesmaximal, characteristic, complemented
27#21433635C211yesmaximal, characteristic, complemented
28#21433594C211yesmaximal, characteristic, complemented
29#459×D59C211yesmaximal, characteristic, complemented
30#21433230C211yesmaximal, characteristic, complemented
31C59×#3119C211yesmaximal, characteristic, complemented
32C2×#14273752C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic, complemented
34C2×#14273747C2211yescharacteristic, complemented
35C2×D8×D59C2211yescharacteristic, complemented
36C2×D8×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic, complemented
38#16838142—21no—
39#16838140—21no—
40#16838137C2211yescharacteristic, complemented
41#16838135C2211yescharacteristic, complemented
42#16838111C2211yescharacteristic, complemented
43#16838101—21no—
44#16838100C2211yescharacteristic, complemented
45#16838093C2211yescharacteristic, complemented
46#16838076—21no—
47#16838076—21no—
48#16838073C2211yescharacteristic, complemented
49#16838070C2211yescharacteristic, complemented
50#16838053C2211yescharacteristic, complemented
51#16838049C2211yescharacteristic, complemented
52#16838048—21no—
53#16838047C2211yescharacteristic
54#16838044—21no—
55#16838040C2211yescharacteristic, complemented
56#16838040C2211yescharacteristic, complemented
57D4×D236C2211yescharacteristic
58D4×D236C2211yescharacteristic, complemented
59#16838036—21no—
60#16838036C2211yescharacteristic, complemented
61#16838036C2211yescharacteristic, complemented
62#16838024C2211yescharacteristic, complemented
63#16838008C2211yescharacteristic, complemented
64#16838007C2211yescharacteristic, complemented
65#16838004—21no—
66#16837999—21no—
67#16837985—21no—
68#16837971C2211yescharacteristic, complemented
69#16837968—21no—
70#16837965C2211yescharacteristic, complemented
71#16837963—21no—
72#16837960—21no—
73#127×D59C2211yescharacteristic, complemented
74#16837939C2211yescharacteristic, complemented
75#16837937C2211yescharacteristic, complemented
76#16837930C2211yescharacteristic
77#16837911—21no—
78C2×#14273712—21no—
79#16837874C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837791C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837783C2211yescharacteristic, complemented
86#16837779C2211yescharacteristic, complemented
87#16837767C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837757C2211yescharacteristic, complemented
92#16837747C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837708C2211yescharacteristic, complemented
98#16837702C2211yescharacteristic, complemented
99#16837702C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837699C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837642C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic
111#16837639C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837632C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837602C2211yescharacteristic, complemented
130#16837602C2211yescharacteristic, complemented
131#16837598C2211yescharacteristic, complemented
132#16837598C2211yescharacteristic, complemented
133#16837597C2211yescharacteristic, complemented
134#16837597C2211yescharacteristic, complemented
135#16837597C2211yescharacteristic, complemented
136#16837597C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic, complemented
144#16837594C2211yescharacteristic, complemented
145#16837561C2211yescharacteristic, complemented
146#16837554C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837551C2211yescharacteristic, complemented
150#16837549C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic, complemented
152#16837548C2211yescharacteristic, complemented
153#16837538C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837532C2211yescharacteristic, complemented
162#16837530C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837513C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837511C2211yescharacteristic, complemented
167#16837501C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×D236C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837401C2211yescharacteristic, complemented
184#16837395C2211yescharacteristic, complemented
185C2×#14273647C2211yescharacteristic, complemented
186#102×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#540C2211yescharacteristic, complemented
189C59×#520C2211yescharacteristic, complemented
190C59×#481C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#479C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#460C2211yescharacteristic, complemented
195C59×#459C2211yescharacteristic, complemented
196C59×#449C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×D236—21no—
208C22×D236—21no—
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C2×D4×D59C2311yescharacteristic
218C2×D4×D59C2311yescharacteristic
219C22×C4×D59—21no—
220#14273752—42no—
221#14273751—42no—
222#14273747—42no—
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243D8×D59—42no—
244D8×D59—42no—
245D8×D59—42no—
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C22×C59⋊C8C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252#14273726C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273724C2311yescharacteristic
255#14273724C2311yescharacteristic
256#14273723—21no—
257#14273723—21no—
258#14273723—21no—
259#14273723C2311yescharacteristic
260#14273723C2311yescharacteristic
261#14273723C2311yescharacteristic
262#14273722—21no—
263#14273722—21no—
264#14273722—21no—
265#14273722D411yescharacteristic
266#14273721—21no—
267#14273721—21no—
268#14273720D411yescharacteristic
269#14273719C2311yescharacteristic
270#14273718C2311yescharacteristic
271#14273717—21no—
272#14273717D411yescharacteristic
273#14273716C2311yescharacteristic
274#14273716C2311yescharacteristic
275#14273715—21no—
276#14273715—21no—
277#14273715C2311yescharacteristic
278#14273715C2311yescharacteristic
279#14273714C2311yescharacteristic
280#14273713—21no—
281#14273713D411yescharacteristic
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712D411yescharacteristic
295#14273711—21no—
296#14273710—21no—
297#14273710—21no—
298#14273710—21no—
299#14273710—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709D411yescharacteristic
303#14273707C2311yescharacteristic
304#14273706—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705D411yescharacteristic
308#14273704—21no—
309#14273704—21no—
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273701—21no—
322#14273701—21no—
323#14273701—21no—
324#14273701—21no—
325#14273701—21no—
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700D411yescharacteristic
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273698—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273695—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355#14273695—21no—
356#14273695—21no—
357#14273695—21no—
358C4×Dic118C2311yescharacteristic
359#14273692C2311yescharacteristic
360C4×D236—21no—
361C4×D236—21no—
362C4×D236C2311yescharacteristic
363C4×D236C2311yescharacteristic
364C4×D236C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366D4×Dic59C2311yescharacteristic
367#14273689—21no—
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370#14273689C2311yescharacteristic
371#14273689C2311yescharacteristic
372#14273689C2311yescharacteristic
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59C2311yescharacteristic
378C4×C22⋊D59C2311yescharacteristic
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382#14273685—21no—
383#14273685C2311yescharacteristic
384#14273684—21no—
385#14273684—21no—
386#14273684C2311yescharacteristic
387C2×Dic59⋊C4—21no—
388C4⋊C4×D59C2311yescharacteristic
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C2×(C2×D59)⋊C4—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C42×D59C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446#127×C59C2311yescharacteristic
447#125×C59C2311yescharacteristic
448#123×C59—21no—
449#123×C59—21no—
450#121×C59—21no—
451#121×C59—21no—
452#121×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×D4×C59—21no—
457C4×D4×C59—21no—
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463#117×C59C2311yescharacteristic
464C2×C4⋊C4×C59—21no—
465C2×C4⋊C4×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490#41×C59—22no—
491#41×C59—41no—
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59C2411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59C2×D411yescharacteristic
524C2×C22⋊D59C2×D411yescharacteristic
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528#11745687—41no—
529#11745687—41no—
530D4×D59—22no—
531D4×D59—22no—
532D4×D59—41no—
533D4×D59—41no—
534D4×D59—41no—
535D4×D59—41no—
536D4×D59—41no—
537D4×D59—41no—
538D4×D59—41no—
539D4×D59—41no—
540D4×D59—82no—
541D4×D59—82no—
542D4×D59—82no—
543D4×D59—82no—
544#11745685—41no—
545#11745685—41no—
546#11745685—82no—
547#11745685—82no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—41no—
561C2×D236—41no—
562C2×D236—82no—
563C2×D236—82no—
564C2×D236C2×D411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×D236C2411yescharacteristic
567C2×D236C2411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—82no—
580C2×C4×D59C2×D411yescharacteristic
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2411yescharacteristic
583C2×C4×D59C2411yescharacteristic
584C2×Dic118—21no—
585C2×Dic118C2×D411yescharacteristic
586C2×Dic118C2411yescharacteristic
587SD16×C59—41no—
588SD16×C59—41no—
589D8×C59—22no—
590D8×C59—22no—
591C2×C8×C59C2411yescharacteristic
592C2×C8×C59C2411yescharacteristic
593C2×C8×C59C2411yescharacteristic
594C2×C8×C59C2411yescharacteristic
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
597C4⋊C4×C59—21no—
598C4⋊C4×C59—21no—
599C4⋊C4×C59—21no—
600C4⋊C4×C59C2×D411yescharacteristic
601C4⋊C4×C59C2×D411yescharacteristic
602C4⋊C4×C59C2411yescharacteristic
603C4⋊C4×C59C2411yescharacteristic
604C4⋊C4×C59C2411yescharacteristic
605C4⋊C4×C59C2411yescharacteristic
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59C2×D411yescharacteristic
613C22⋊C4×C59C2×D411yescharacteristic
614C42×C59—21no—
615C42×C59—21no—
616C42×C59C2411yescharacteristic
617C42×C59C2411yescharacteristic
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59C2×D411yescharacteristic
623C22⋊Dic59C2×D411yescharacteristic
624#11745672—41no—
625#11745671—41no—
626#11745671—41no—
627#11745671—41no—
628#11745670—22no—
629#11745669—22no—
630#11745669—22no—
631#11745669—22no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
635#11745669—41no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2×D411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686Dic59⋊C4C2×D411yescharacteristic
687Dic59⋊C4C2×D411yescharacteristic
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694#11745664—41no—
695C2×C59⋊C8—41no—
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700D472—41no—
701D472—41no—
702D472—41no—
703D472—41no—
704D472—41no—
705D472—41no—
706#11745660—41no—
707#11745660—41no—
708#11745659—41no—
709C8×D59—41no—
710C8×D59—41no—
711C8×D59—41no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—21no—
715C23×C59C22×D411yescharacteristic
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741Q8×C59—21no—
742Q8×C59—21no—
743D4×C59—21no—
744D4×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—42no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753D4×C59H(5,𝔽2)12yes—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—42no—
762C2×C4×C59—81no—
763C2×C4×C59—81no—
764C2×C4×C59—81no—
765C2×C4×C59—81no—
766C2×C4×C59—81no—
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C2511yescharacteristic
773C22⋊D59—22no—
774C22⋊D59—41no—
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—81no—
794C2×Dic59—81no—
795C2×Dic59—81no—
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802D236—22no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—21no—
811D236—21no—
812D236—21no—
813D236—42no—
814D236—42no—
815D236—81no—
816D236—81no—
817D236—81no—
818D236—81no—
819D236—81no—
820D236—81no—
821D236—81no—
822D236—81no—
823D236—81no—
824D236—81no—
825C4×D59—22no—
826C4×D59—21no—
827C4×D59—21no—
828C4×D59—21no—
829C4×D59—21no—
830C4×D59—41no—
831C4×D59—42no—
832C4×D59—42no—
833C4×D59—81no—
834C4×D59—81no—
835C4×D59—81no—
836C4×D59—81no—
837C4×D59—81no—
838C4×D59—81no—
839C4×D59—81no—
840Dic118—21no—
841Dic118—21no—
842Dic118—41no—
843Dic118—81no—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#62007—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—22no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59C23×D411yescharacteristic
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—84no—
887C2×D59—162no—
888C2×D59—162no—
889C2×D59—162no—
890C2×D59—162no—
891C2×D59—162no—
892C2×D59#57612yes—
893C4×C59—21no—
894C4×C59—21no—
895C4×C59—21no—
896C4×C59—21no—
897C4×C59—21no—
898C4×C59—41no—
899C4×C59—41no—
900C4×C59—41no—
901C4×C59—41no—
902C4×C59—41no—
903C4×C59C2×H(5,𝔽2)11yescharacteristic
904C4×C59#58511yescharacteristic
905Dic59—21no—
906Dic59—21no—
907Dic59—21no—
908Dic59—21no—
909Dic59—21no—
910Dic59—21no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914#3543—591no—
915#3513—591no—
916#3403—591no—
917#3399—591no—
918#3370—591no—
919#3366—591no—
920#3318—591no—
921#3310—591no—
922#3309—591no—
923#3306—591no—
924#3296—591no—
925#3294—591no—
926#3280—591no—
927D4×D8—591no—
928#3268—591no—
929#3264—591no—
930#3264—591no—
931#3264—591no—
932#3259—591no—
933#3257—591no—
934#3250—591no—
935#3224—591no—
936#3220—591no—
937#3217—591no—
938#3122—591no—
939#3119D5911yescharacteristic, complemented
940#3114—591no—
941#3045—591no—
942#3041—591no—
943C2×#459—591no—
944#2992—591no—
945C2×C59—42no—
946C2×C59—41no—
947C2×C59—81no—
948C2×C59—81no—
949C2×C59#348811yescharacteristic
950C2×C59C2×#57611yescharacteristic
951C2×C59#358511yescharacteristic
952D59—22no—
953D59—41no—
954D59—81no—
955D59—81no—
956D59—81no—
957D59—81no—
958D59—81no—
959C2×AGL(1,ℤ/8)—591no—
960C2×AGL(1,ℤ/8)—591no—
961C2×#135—591no—
962C22×D8—591no—
963C22×D8—591no—
964C22×D8—591no—
965#560—1181no—
966#560—1181no—
967#559—591no—
968#559—591no—
969#554—591no—
970#553—591no—
971#553—1181no—
972#552—591no—
973#551—1181no—
974#551—1181no—
975#550—591no—
976#550—591no—
977#547—591no—
978#546—591no—
979#546—591no—
980#546—591no—
981#546—591no—
982#546—1181no—
983#546—1181no—
984D42—591no—
985D42—591no—
986D42—591no—
987D42—591no—
988D42—1181no—
989#542—591no—
990#540—591no—
991#540—591no—
992#540—1181no—
993#540C2×D5911yescharacteristic, complemented
994#539—1181no—
995#538—1181no—
996#535—591no—
997#535—591no—
998#535—1181no—
999#534—1181no—
1000#534—1181no—
1001C2×#127—591no—
1002#529—591no—
1003#529—591no—
1004#529—591no—
1005#525—1181no—
1006C2×#123—1181no—
1007#520C2×D5911yescharacteristic, complemented
1008#518—591no—
1009C2×C4×D4—591no—
1010#496—591no—
1011#496—591no—
1012#496—591no—
1013#496—591no—
1014#495—591no—
1015#493—591no—
1016#490—591no—
1017#490—591no—
1018#490—591no—
1019#489—591no—
1020#488—591no—
1021#486—591no—
1022#483—591no—
1023#482—591no—
1024#482—591no—
1025#481C2×D5911yescharacteristic, complemented
1026#480—591no—
1027#480C2×D5911yescharacteristic, complemented
1028#479—591no—
1029#479C2×D5911yescharacteristic, complemented
1030#478—591no—
1031#478—591no—
1032#478—591no—
1033#478—591no—
1034#478—591no—
1035#478C2×D5911yescharacteristic, complemented
1036#476—591no—
1037#474—591no—
1038#469—591no—
1039#469—591no—
1040#469—591no—
1041#468—591no—
1042#467—591no—
1043#466—591no—
1044#466—591no—
1045#466—591no—
1046#466—591no—
1047#465—591no—
1048#465—591no—
1049#465—591no—
1050#464—591no—
1051#464—591no—
1052#464—591no—
1053#463—591no—
1054#463—591no—
1055#463—591no—
1056#463—591no—
1057#463—591no—
1058#463—591no—
1059#463—591no—
1060#463—591no—
1061#463—591no—
1062#460—591no—
1063#460—591no—
1064#460C2×D5911yescharacteristic, complemented
1065#459—591no—
1066#459—591no—
1067#459—591no—
1068#459—591no—
1069#459—591no—
1070#459—591no—
1071#459—591no—
1072#459—591no—
1073#459—591no—
1074#459—591no—
1075#459—591no—
1076#459—591no—
1077#459—591no—
1078#459—591no—
1079#459C2×D5911yescharacteristic, complemented
1080#452—591no—
1081#450—591no—
1082#450—591no—
1083#450—591no—
1084#450—591no—
1085#449—591no—
1086#449—591no—
1087#449—591no—
1088#449C2×D5911yescharacteristic, complemented
1089#449C2×D5911yescharacteristic, complemented
1090#447—591no—
1091#447—591no—
1092#447—591no—
1093#447—591no—
1094#447—591no—
1095#447—591no—
1096#447—591no—
1097#447—591no—
1098#446—591no—
1099#446—591no—
1100#442—591no—
1101#442—591no—
1102#442—591no—
1103#442—591no—
1104#442C2×D5911yescharacteristic, complemented
1105#440—591no—
1106#440—591no—
1107#440C2×D5911yescharacteristic, complemented
1108C4×SD16C2×D5911yescharacteristic, complemented
1109C4×D8—591no—
1110C4×D8—591no—
1111C4×D8C2×D5911yescharacteristic, complemented
1112#435—591no—
1113#435—591no—
1114#435—591no—
1115#435—591no—
1116C8×D4—591no—
1117C8×D4—591no—
1118#433—591no—
1119#433C2×D5911yescharacteristic, complemented
1120#432—591no—
1121#424—591no—
1122#424—591no—
1123C2×C4⋊C8—591no—
1124#418—591no—
1125#417—591no—
1126#416—591no—
1127C2×#102—591no—
1128C2×#102—591no—
1129C2×#102—591no—
1130C59#6200711yescharacteristic, complemented, Sylow
1131C2×#41—591no—
1132C2×#41—591no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41C22×D5911yescharacteristic
1136C22×D4—591no—
1137C22×D4—591no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—1181no—
1143C22×D4—1181no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4—1181no—
1148C23×C4—1181no—
1149AGL(1,ℤ/8)—2362no—
1150AGL(1,ℤ/8)—2362no—
1151#135—2362no—
1152C2×Q16—591no—
1153C2×SD16—591no—
1154C2×SD16—591no—
1155C2×SD16—591no—
1156C2×SD16—591no—
1157C2×SD16—591no—
1158C2×SD16—591no—
1159C2×SD16C22×D5911yescharacteristic
1160C2×SD16C22×D5911yescharacteristic
1161C2×D8—591no—
1162C2×D8—591no—
1163C2×D8—591no—
1164C2×D8—591no—
1165C2×D8—591no—
1166C2×D8—591no—
1167C2×D8—591no—
1168C2×D8—591no—
1169C2×D8—591no—
1170C2×D8—591no—
1171C2×D8—591no—
1172C2×D8—591no—
1173C2×D8—591no—
1174C2×D8—2362no—
1175C2×D8—2362no—
1176C2×D8—2362no—
1177C2×D8C22×D5911yescharacteristic
1178C2×D8C22×D5911yescharacteristic
1179C2×M16—591no—
1180C2×M16—591no—
1181C22×C8—591no—
1182C22×C8—591no—
1183C22×C8—591no—
1184C22×C8—591no—
1185C4⋊Q8—591no—
1186#127—591no—
1187#127—591no—
1188#127—591no—
1189#127—591no—
1190#127—591no—
1191#127—591no—
1192#127—1181no—
1193#127—1181no—
1194#127—1181no—
1195#127C22×D5911yescharacteristic
1196#126—591no—
1197#126—591no—
1198#126—1181no—
1199#126—1181no—
1200#126—1181no—
1201#126—1181no—
1202#126—1181no—
1203#125—591no—
1204#125—591no—
1205#125—591no—
1206#125—1181no—
1207#125C22×D5911yescharacteristic
1208#124—591no—
1209#124—591no—
1210#124—591no—
1211#124—591no—
1212#124—591no—
1213#124—591no—
1214#124—1181no—
1215#124—1181no—
1216#124—1181no—
1217#123—21no—
1218#123—21no—
1219#123—591no—
1220#123—591no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235#123—1181no—
1236#123—1181no—
1237#123—1181no—
1238#123—1181no—
1239#123—1181no—
1240C22⋊Q8—591no—
1241C22⋊Q8—591no—
1242C22⋊Q8—591no—
1243C22⋊Q8—591no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249#121—21no—
1250#121—21no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121C22×D5911yescharacteristic
1282#121C22×D5911yescharacteristic
1283#120—1181no—
1284#120—1181no—
1285#120—1181no—
1286#120—1181no—
1287#120—1181no—
1288#120—1181no—
1289#120—1181no—
1290#120—1181no—
1291#120—1181no—
1292#120—1181no—
1293#120—1181no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299C4×Q8—591no—
1300C4×Q8—591no—
1301C4×Q8C22×D5911yescharacteristic
1302C4×Q8C22×D5911yescharacteristic
1303C4×D4—21no—
1304C4×D4—21no—
1305C4×D4—591no—
1306C4×D4—591no—
1307C4×D4—591no—
1308C4×D4—591no—
1309C4×D4—591no—
1310C4×D4—591no—
1311C4×D4—591no—
1312C4×D4—591no—
1313C4×D4—591no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—1181no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4C22×D5911yescharacteristic
1328C4×D4C22×D5911yescharacteristic
1329C4×D4C22×D5911yescharacteristic
1330C4×D4C22×D5911yescharacteristic
1331#117—21no—
1332#117—591no—
1333#117—591no—
1334#117—1181no—
1335#117—1181no—
1336#117—1181no—
1337#117C22×D5911yescharacteristic
1338C2×C4⋊C4—21no—
1339C2×C4⋊C4—591no—
1340C2×C4⋊C4—1181no—
1341C2×C4⋊C4C22×D5911yescharacteristic
1342C2×C22⋊C4—1181no—
1343C2×C22⋊C4—1181no—
1344C2×C22⋊C4—1181no—
1345C2×C22⋊C4—1181no—
1346C2×C22⋊C4—1181no—
1347C2×C22⋊C4—1181no—
1348C2×C22⋊C4—1181no—
1349C2×C42—591no—
1350#107—591no—
1351#107—591no—
1352#107C22×D5911yescharacteristic
1353#107C22×D5911yescharacteristic
1354#106—591no—
1355#106—591no—
1356#106C22×D5911yescharacteristic
1357#106C22×D5911yescharacteristic
1358C4⋊C8—591no—
1359C4⋊C8—591no—
1360C4⋊C8—591no—
1361C4⋊C8—591no—
1362C4⋊C8—591no—
1363C4⋊C8—591no—
1364C4⋊C8—591no—
1365C4⋊C8—591no—
1366C4⋊C8C22×D5911yescharacteristic
1367C4⋊C8C22×D5911yescharacteristic
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103C22×D5911yescharacteristic
1373#103C22×D5911yescharacteristic
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102C22×D5911yescharacteristic
1395#102C22×D5911yescharacteristic
1396#102C22×D5911yescharacteristic
1397#102C22×D5911yescharacteristic
1398#102C22×D5911yescharacteristic
1399#102C22×D5911yescharacteristic
1400C22⋊C8—591no—
1401C22⋊C8—591no—
1402C22⋊C8—591no—
1403C22⋊C8—591no—
1404C22⋊C8C22×D5911yescharacteristic
1405C22⋊C8C22×D5911yescharacteristic
1406#97—591no—
1407#97—591no—
1408#97—591no—
1409#97C22×D5911yescharacteristic
1410C4×C8—591no—
1411C4×C8C22×D5911yescharacteristic
1412C24—1181no—
1413C24—1181no—
1414C24—1181no—
1415C24—1181no—
1416C24—1181no—
1417C24—1181no—
1418#41—22no—
1419#41—41no—
1420#41—4722no—
1421#41—4722no—
1422#41—2361no—
1423#41—2361no—
1424#41—2361no—
1425#41—2361no—
1426C2×Q8—591no—
1427C2×Q8—591no—
1428C2×Q8—1181no—
1429C2×Q8C23×D5911yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—591no—
1436C2×D4—591no—
1437C2×D4—591no—
1438C2×D4—591no—
1439C2×D4—591no—
1440C2×D4—591no—
1441C2×D4—591no—
1442C2×D4—591no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—1181no—
1459C2×D4—1182no—
1460C2×D4—1182no—
1461C2×D4—1181no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—4722no—
1473C2×D4—4722no—
1474C2×D4—4722no—
1475C2×D4—4722no—
1476C2×D4—4722no—
1477C2×D4—4722no—
1478C2×D4—2361no—
1479C2×D4—2361no—
1480C2×D4—2361no—
1481C2×D4—2361no—
1482C2×D4—2361no—
1483C2×D4—2361no—
1484C2×D4—2361no—
1485C2×D4—2361no—
1486C2×D4—2361no—
1487C2×D4—2361no—
1488C2×D4C23×D5911yescharacteristic
1489C2×D4C23×D5911yescharacteristic
1490C2×D4C23×D5911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—591no—
1498C22×C4—591no—
1499C22×C4—591no—
1500C22×C4—591no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—4722no—
1514C22×C4C23×D5911yescharacteristic
1515Q16—2361no—
1516SD16—41no—
1517SD16—41no—
1518SD16—1182no—
1519SD16—2361no—
1520SD16—2361no—
1521SD16—2361no—
1522SD16—2361no—
1523SD16—2361no—
1524D8—22no—
1525D8—22no—
1526D8—1182no—
1527D8—1182no—
1528D8—1182no—
1529D8—2361no—
1530D8—2361no—
1531D8—2361no—
1532D8—2361no—
1533D8—2361no—
1534D8—2361no—
1535D8—2361no—
1536D8—2361no—
1537D8—2361no—
1538D8—2361no—
1539M16—2361no—
1540M16—2361no—
1541C2×C8—591no—
1542C2×C8—591no—
1543C2×C8—591no—
1544C2×C8—591no—
1545C2×C8—2361no—
1546C2×C8—2361no—
1547C2×C8—2361no—
1548C2×C8—2361no—
1549C2×C8C23×D5911yescharacteristic
1550C2×C8C23×D5911yescharacteristic
1551C2×C8C23×D5911yescharacteristic
1552C2×C8C23×D5911yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—591no—
1565C4⋊C4—591no—
1566C4⋊C4—591no—
1567C4⋊C4—591no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4D4×D5911yescharacteristic
1579C4⋊C4D4×D5911yescharacteristic
1580C4⋊C4C23×D5911yescharacteristic
1581C4⋊C4C23×D5911yescharacteristic
1582C4⋊C4C23×D5911yescharacteristic
1583C4⋊C4C23×D5911yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—591no—
1591C22⋊C4—591no—
1592C22⋊C4—591no—
1593C22⋊C4—591no—
1594C22⋊C4—591no—
1595C22⋊C4—591no—
1596C22⋊C4—591no—
1597C22⋊C4—591no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4D4×D5911yescharacteristic
1629C22⋊C4D4×D5911yescharacteristic
1630C42—21no—
1631C42—21no—
1632C42—591no—
1633C42—591no—
1634C42—591no—
1635C42—591no—
1636C42—1181no—
1637C42—1181no—
1638C42C23×D5911yescharacteristic
1639C42C23×D5911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—591no—
1644C23—591no—
1645C23—1181no—
1646C23—1181no—
1647C23—1181no—
1648C23—1181no—
1649C23—1181no—
1650C23—4721no—
1651C23—4721no—
1652C23—4721no—
1653C23—4721no—
1654C23—4721no—
1655C23—4721no—
1656C23—4721no—
1657C23—4721no—
1658C23—4721no—
1659C23—4721no—
1660C23—4721no—
1661C23—4721no—
1662C23—4721no—
1663C23—2362no—
1664C23—2362no—
1665C23—2362no—
1666C23—2362no—
1667C23—2362no—
1668C23C2×D4×D5911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—1181no—
1672Q8—1181no—
1673Q8—4721no—
1674Q8—2361no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—42no—
1681D4—81no—
1682D4—81no—
1683D4—81no—
1684D4—81no—
1685D4—1182no—
1686D4—1182no—
1687D4—1181no—
1688D4—1181no—
1689D4—1181no—
1690D4—1181no—
1691D4—1181no—
1692D4—1181no—
1693D4—1181no—
1694D4—1181no—
1695D4—1181no—
1696D4—1181no—
1697D4—4721no—
1698D4—4721no—
1699D4—4721no—
1700D4—4721no—
1701D4—4721no—
1702D4—4721no—
1703D4—4721no—
1704D4—4721no—
1705D4—4721no—
1706D4—4721no—
1707D4—4721no—
1708D4—4721no—
1709D4—4721no—
1710D4—4721no—
1711D4—4721no—
1712D4—4721no—
1713D4—4721no—
1714D4—4721no—
1715D4—4721no—
1716D4—4721no—
1717D4—4721no—
1718D4—2362no—
1719D4—2362no—
1720D4—2361no—
1721D4—2362no—
1722D4—2362no—
1723D4—2362no—
1724D4—2362no—
1725D4#1427377312yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—42no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—81no—
1739C2×C4—591no—
1740C2×C4—591no—
1741C2×C4—591no—
1742C2×C4—591no—
1743C2×C4—591no—
1744C2×C4—591no—
1745C2×C4—1182no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—1181no—
1753C2×C4—4721no—
1754C2×C4—4721no—
1755C2×C4—4721no—
1756C2×C4—4721no—
1757C2×C4—4721no—
1758C2×C4—4721no—
1759C2×C4—4721no—
1760C2×C4—4721no—
1761C2×C4—4721no—
1762C2×C4—4721no—
1763C2×C4—2361no—
1764C2×C4—2362no—
1765C2×C4—2362no—
1766C2×C4C2×D4×D5911yescharacteristic
1767C2×C4C2×D4×D5911yescharacteristic
1768C2×C4C2×D4×D5911yescharacteristic
1769C2×C4C2×D4×D5911yescharacteristic
1770C2×C4C2×D4×D5911yescharacteristic
1771C2×C4C24×D5911yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1181no—
1777C8—1181no—
1778C8—1181no—
1779C8—1181no—
1780C22—21no—
1781C22—22no—
1782C22—21no—
1783C22—21no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—592no—
1793C22—1181no—
1794C22—1181no—
1795C22—1181no—
1796C22—1181no—
1797C22—1181no—
1798C22—9442no—
1799C22—9442no—
1800C22—9442no—
1801C22—9442no—
1802C22—9442no—
1803C22—4724no—
1804C22—2361no—
1805C22—2361no—
1806C22—2361no—
1807C22—2361no—
1808C22—2361no—
1809C22—2361no—
1810C22—2361no—
1811C22—2361no—
1812C22—2361no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22C22×D4×D5911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—1181no—
1831C4—1181no—
1832C4—1181no—
1833C4—1181no—
1834C4—1181no—
1835C4—1181no—
1836C4—2361no—
1837C4—2361no—
1838C4—2361no—
1839C4C2×#1427377311yescharacteristic
1840C4#1683823811yescharacteristic
1841C2—41no—
1842C2—42no—
1843C2—81no—
1844C2—81no—
1845C2—1182no—
1846C2—4721no—
1847C2—4721no—
1848C2—4721no—
1849C2—4721no—
1850C2—4721no—
1851C2—2361no—
1852C2#2143775711yescharacteristic
1853C2#576×D5911yescharacteristic
1854C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3119C2
socleC22×C59C23×D4
hypercenter#3119D59
hypocenterC59#62007
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21438425C2semidirect
2. #21438038C2semidirect
3. #21437185C2semidirect
4. #21437136C2semidirect
5. #21436845C2semidirect
6. #21436804C2semidirect
7. #21436235C2semidirect
8. #21436122C2semidirect
9. #21436105C2semidirect
10. #21436060C2semidirect
11. #21435936C2semidirect
12. #21435907C2semidirect
13. #21435779C2semidirect
14. D8×D236C2semidirect
15. #21435640C2semidirect
16. #21435579C2semidirect
17. #21435579C2semidirect
18. #21435578C2semidirect
19. #21435531C2semidirect
20. #21435513C2semidirect
21. #21435450C2semidirect
22. #21435195C2semidirect
23. #21435148C2semidirect
24. #21435118C2semidirect
25. #21434341C2semidirect
26. #21434239C2semidirect
27. #21433635C2semidirect
28. #21433594C2semidirect
29. #459×D59C2semidirect
30. #21433230C2semidirect
31. C59×#3119C2semidirect
32. C2×#14273752C22semidirect
33. C2×#14273751C22semidirect
34. C2×#14273747C22semidirect
35. C2×D8×D59C22semidirect
36. C2×D8×D59C22semidirect
37. C2×D8×D59C22semidirect
40. #16838137C22semidirect
41. #16838135C22semidirect
42. #16838111C22semidirect
44. #16838100C22semidirect
45. #16838093C22semidirect
48. #16838073C22semidirect
49. #16838070C22semidirect
50. #16838053C22semidirect
51. #16838049C22semidirect
55. #16838040C22semidirect
56. #16838040C22semidirect
58. D4×D236C22semidirect
60. #16838036C22semidirect
61. #16838036C22semidirect
62. #16838024C22semidirect
63. #16838008C22semidirect
64. #16838007C22semidirect
68. #16837971C22semidirect
70. #16837965C22semidirect
73. #127×D59C22semidirect
74. #16837939C22semidirect
75. #16837937C22semidirect
79. #16837874C22semidirect
80. C4×D4×D59C22semidirect
81. #16837791C22semidirect
82. #16837788C22semidirect
83. #16837788C22semidirect
84. #16837788C22semidirect
85. #16837783C22semidirect
86. #16837779C22semidirect
87. #16837767C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837760C22semidirect
91. #16837757C22semidirect
92. #16837747C22semidirect
93. #16837734C22semidirect
94. #16837729C22semidirect
95. #16837728C22semidirect
96. #16837717C22semidirect
97. #16837708C22semidirect
98. #16837702C22semidirect
99. #16837702C22semidirect
100. #16837701C22semidirect
101. #16837699C22semidirect
102. #16837699C22semidirect
103. #16837691C22semidirect
104. #16837681C22semidirect
105. #16837656C22semidirect
106. #16837653C22semidirect
107. #16837653C22semidirect
108. #16837651C22semidirect
109. #16837642C22semidirect
111. #16837639C22semidirect
112. #16837636C22semidirect
113. #16837636C22semidirect
114. #16837634C22semidirect
115. #16837634C22semidirect
116. #16837632C22semidirect
117. #16837627C22semidirect
118. #16837624C22semidirect
119. #16837624C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837618C22semidirect
124. #16837618C22semidirect
125. #16837617C22semidirect
126. #16837617C22semidirect
127. #16837616C22semidirect
128. #16837615C22semidirect
129. #16837602C22semidirect
130. #16837602C22semidirect
131. #16837598C22semidirect
132. #16837598C22semidirect
133. #16837597C22semidirect
134. #16837597C22semidirect
135. #16837597C22semidirect
136. #16837597C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
139. #16837596C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837594C22semidirect
144. #16837594C22semidirect
145. #16837561C22semidirect
146. #16837554C22semidirect
147. #16837551C22semidirect
148. #16837551C22semidirect
149. #16837551C22semidirect
150. #16837549C22semidirect
151. #16837549C22semidirect
152. #16837548C22semidirect
153. #16837538C22semidirect
154. #16837538C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837537C22semidirect
161. #16837532C22semidirect
162. #16837530C22semidirect
163. #16837513C22semidirect
164. #16837513C22semidirect
165. #16837511C22semidirect
166. #16837511C22semidirect
167. #16837501C22semidirect
168. #16837499C22semidirect
169. #16837484C22semidirect
170. #16837482C22semidirect
171. #16837476C22semidirect
172. #16837476C22semidirect
173. #16837475C22semidirect
174. #16837470C22semidirect
175. C8×D236C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837405C22semidirect
183. #16837401C22semidirect
184. #16837395C22semidirect
185. C2×#14273647C22semidirect
186. #102×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#540C22semidirect
189. C59×#520C22semidirect
190. C59×#481C22semidirect
191. C59×#480C22semidirect
192. C59×#479C22semidirect
193. C59×#478C22semidirect
194. C59×#460C22semidirect
195. C59×#459C22semidirect
196. C59×#449C22semidirect
197. C59×#449C22semidirect
198. C59×#442C22semidirect
199. C59×#440C22semidirect
200. C4×SD16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#433C22semidirect
939. #3119D59semidirect
993. #540C2×D59semidirect
1007. #520C2×D59semidirect
1025. #481C2×D59semidirect
1027. #480C2×D59semidirect
1029. #479C2×D59semidirect
1035. #478C2×D59semidirect
1064. #460C2×D59semidirect
1079. #459C2×D59semidirect
1088. #449C2×D59semidirect
1089. #449C2×D59semidirect
1104. #442C2×D59semidirect
1107. #440C2×D59semidirect
1108. C4×SD16C2×D59semidirect
1111. C4×D8C2×D59semidirect
1119. #433C2×D59semidirect
1130. C59#62007semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214384252
#214380382
#214371852
#214371362
#214368452
#214368042
#214362352
#214361222
#214361052
#214360602
#214359362
#214359072
#214357792
D8×D2362
#214356402
#214355792
#214355782
#214355312
#214355132
#214354502
#214351952
#214351482
#214351182
#214343412
#214342392
#214336352
#214335942
#459×D592
#214332302
C59×#31192
#6200759